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Finding the Third Proportional to 0.78 and 1.03

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Solution

The third proportional to 0.78 and 1.03 is: 1.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.78 : 1.03 = 1.03 : x
  2. Step 2: Convert to fraction form
    0.78/1.03 = 1.03/x
  3. Step 3: Cross multiply
    0.78x = 1.03 × 1.03
  4. Step 4: Simplify right side
    0.78x = 1.07
  5. Step 5: Solve for x
    x = 1.07/0.78
  6. Step 6: Final answer
    x = 1.36

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.